Pandas Profiling Report

Dataset statistics

Number of variables	11
Number of observations	999
Missing cells	0
Missing cells (%)	0.0%
Duplicate rows	0
Duplicate rows (%)	0.0%
Total size in memory	86.0 KiB
Average record size in memory	88.1 B

Variable types

Numeric	11

Alerts

`x_4` is highly correlated with `y`	High correlation
`y` is highly correlated with `x_4`	High correlation
`x_4` is highly correlated with `y`	High correlation
`y` is highly correlated with `x_4`	High correlation
`x_4` is highly correlated with `y`	High correlation
`y` is highly correlated with `x_4`	High correlation
`x_1` has unique values	Unique
`x_2` has unique values	Unique
`x_3` has unique values	Unique
`x_4` has unique values	Unique
`x_5` has unique values	Unique
`x_6` has unique values	Unique
`x_7` has unique values	Unique
`x_8` has unique values	Unique
`x_9` has unique values	Unique
`x_10` has unique values	Unique

Reproduction

Analysis started	2022-05-16 07:50:56.530652
Analysis finished	2022-05-16 07:51:09.161494
Duration	12.63 seconds
Software version	pandas-profiling v3.2.0
Download configuration	config.json

x_1
Real number (ℝ_≥0)

UNIQUE

Distinct	999
Distinct (%)	100.0%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%
Mean	0.4908268595

Minimum	0.0001881734934
Maximum	0.9995660062
Zeros	0
Zeros (%)	0.0%
Negative	0
Negative (%)	0.0%
Memory size	7.9 KiB

Quantile statistics

Minimum	0.0001881734934
5-th percentile	0.04234476623
Q1	0.2189356901
median	0.5048459771
Q3	0.7384930294
95-th percentile	0.9483232349
Maximum	0.9995660062
Range	0.9993778327
Interquartile range (IQR)	0.5195573393

Descriptive statistics

Standard deviation	0.2938751385
Coefficient of variation (CV)	0.5987348345
Kurtosis	-1.23314922
Mean	0.4908268595
Median Absolute Deviation (MAD)	0.2618995951
Skewness	-0.0001171731307
Sum	490.3360327
Variance	0.08636259704
Monotonicity	Not monotonic

Histogram with fixed size bins (bins=50)

Value	Count	Frequency (%)
0.9683788088	1	0.1%
0.9483039195	1	0.1%
0.9096131062	1	0.1%
0.06288088998	1	0.1%
0.671780755	1	0.1%
0.1109281522	1	0.1%
0.706813111	1	0.1%
0.3997667229	1	0.1%
0.8322193667	1	0.1%
0.3528275709	1	0.1%
Other values (989)	989	99.0%

Minimum 10 values
Maximum 10 values

Value	Count	Frequency (%)
0.0001881734934	1	0.1%
0.000237680506	1	0.1%
0.0003354237415	1	0.1%
0.0004495745525	1	0.1%
0.002274518134	1	0.1%
0.002481588162	1	0.1%
0.002665059874	1	0.1%
0.003108262084	1	0.1%
0.005357587943	1	0.1%
0.006790122949	1	0.1%

Value	Count	Frequency (%)
0.9995660062	1	0.1%
0.9990050404	1	0.1%
0.9982276598	1	0.1%
0.99572321	1	0.1%
0.9946827416	1	0.1%
0.9927035437	1	0.1%
0.9916759594	1	0.1%
0.9916492915	1	0.1%
0.9913324958	1	0.1%
0.9899826022	1	0.1%

x_2
Real number (ℝ_≥0)

UNIQUE

Distinct	999
Distinct (%)	100.0%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%
Mean	0.4993099365

Minimum	8.508865722 × 10^-5
Maximum	0.9999592176
Zeros	0
Zeros (%)	0.0%
Negative	0
Negative (%)	0.0%
Memory size	7.9 KiB

Quantile statistics

Minimum	8.508865722 × 10^-5
5-th percentile	0.05429990666
Q1	0.2620030111
median	0.5005389699
Q3	0.7338527376
95-th percentile	0.9502933578
Maximum	0.9999592176
Range	0.999874129
Interquartile range (IQR)	0.4718497265

Descriptive statistics

Standard deviation	0.2785678267
Coefficient of variation (CV)	0.557905634
Kurtosis	-1.099712965
Mean	0.4993099365
Median Absolute Deviation (MAD)	0.2366037248
Skewness	-0.002575696342
Sum	498.8106266
Variance	0.07760003406
Monotonicity	Not monotonic

Histogram with fixed size bins (bins=50)

Value	Count	Frequency (%)
0.7168197876	1	0.1%
0.06454800046	1	0.1%
0.5834462964	1	0.1%
0.7706178925	1	0.1%
0.9542366324	1	0.1%
0.2048069998	1	0.1%
0.5397562298	1	0.1%
0.4446769466	1	0.1%
0.05113286083	1	0.1%
0.2578079756	1	0.1%
Other values (989)	989	99.0%

Minimum 10 values
Maximum 10 values

Value	Count	Frequency (%)
8.508865722 × 10^-5	1	0.1%
0.00192071544	1	0.1%
0.004510525847	1	0.1%
0.007382266456	1	0.1%
0.008615878178	1	0.1%
0.01080613793	1	0.1%
0.01244858373	1	0.1%
0.01284920028	1	0.1%
0.01311626565	1	0.1%
0.01318773977	1	0.1%

Value	Count	Frequency (%)
0.9999592176	1	0.1%
0.9996616519	1	0.1%
0.9984938819	1	0.1%
0.9968087643	1	0.1%
0.9963340503	1	0.1%
0.9959830714	1	0.1%
0.9952703691	1	0.1%
0.9941536989	1	0.1%
0.9936317257	1	0.1%
0.9933765049	1	0.1%

x_3
Real number (ℝ_≥0)

UNIQUE

Distinct	999
Distinct (%)	100.0%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%
Mean	0.496888229

Minimum	0.003109625774
Maximum	0.9989182351
Zeros	0
Zeros (%)	0.0%
Negative	0
Negative (%)	0.0%
Memory size	7.9 KiB

Quantile statistics

Minimum	0.003109625774
5-th percentile	0.04575146399
Q1	0.2317364716
median	0.4845410262
Q3	0.7651983585
95-th percentile	0.9440981801
Maximum	0.9989182351
Range	0.9958086093
Interquartile range (IQR)	0.5334618868

Descriptive statistics

Standard deviation	0.2978736103
Coefficient of variation (CV)	0.5994780977
Kurtosis	-1.315259159
Mean	0.496888229
Median Absolute Deviation (MAD)	0.268836021
Skewness	0.01546682282
Sum	496.3913407
Variance	0.08872868769
Monotonicity	Not monotonic

Histogram with fixed size bins (bins=50)

Value	Count	Frequency (%)
0.6788464659	1	0.1%
0.8300950697	1	0.1%
0.1964099798	1	0.1%
0.6823239319	1	0.1%
0.3707964618	1	0.1%
0.4262538045	1	0.1%
0.2023812085	1	0.1%
0.09253612417	1	0.1%
0.1026566981	1	0.1%
0.4804451503	1	0.1%
Other values (989)	989	99.0%

Minimum 10 values
Maximum 10 values

Value	Count	Frequency (%)
0.003109625774	1	0.1%
0.003444103524	1	0.1%
0.006440791534	1	0.1%
0.007464393741	1	0.1%
0.007623463403	1	0.1%
0.00807375554	1	0.1%
0.008087543305	1	0.1%
0.008908248972	1	0.1%
0.01194022712	1	0.1%
0.01278970158	1	0.1%

Value	Count	Frequency (%)
0.9989182351	1	0.1%
0.998192295	1	0.1%
0.9941519594	1	0.1%
0.9936207957	1	0.1%
0.992277249	1	0.1%
0.9920568638	1	0.1%
0.9911756483	1	0.1%
0.9905151757	1	0.1%
0.9891123949	1	0.1%
0.9884057203	1	0.1%

x_4
Real number (ℝ_≥0)

HIGH CORRELATION
HIGH CORRELATION
HIGH CORRELATION
UNIQUE

Distinct	999
Distinct (%)	100.0%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%
Mean	0.5032280121

Minimum	0.001223057276
Maximum	0.9987846948
Zeros	0
Zeros (%)	0.0%
Negative	0
Negative (%)	0.0%
Memory size	7.9 KiB

Quantile statistics

Minimum	0.001223057276
5-th percentile	0.05101582825
Q1	0.2688959518
median	0.5037115691
Q3	0.7478565234
95-th percentile	0.9480387195
Maximum	0.9987846948
Range	0.9975616375
Interquartile range (IQR)	0.4789605716

Descriptive statistics

Standard deviation	0.2842376007
Coefficient of variation (CV)	0.5648286539
Kurtosis	-1.153262938
Mean	0.5032280121
Median Absolute Deviation (MAD)	0.238542805
Skewness	-0.005868875243
Sum	502.7247841
Variance	0.08079101364
Monotonicity	Not monotonic

Histogram with fixed size bins (bins=50)

Value	Count	Frequency (%)
0.5100488709	1	0.1%
0.3997731176	1	0.1%
0.3808924286	1	0.1%
0.4828914567	1	0.1%
0.5968996885	1	0.1%
0.8060180959	1	0.1%
0.2731233467	1	0.1%
0.1293834371	1	0.1%
0.2585441726	1	0.1%
0.7594994358	1	0.1%
Other values (989)	989	99.0%

Minimum 10 values
Maximum 10 values

Value	Count	Frequency (%)
0.001223057276	1	0.1%
0.002138953656	1	0.1%
0.003690861864	1	0.1%
0.004139408935	1	0.1%
0.004510888597	1	0.1%
0.005940596573	1	0.1%
0.006220792653	1	0.1%
0.008011179511	1	0.1%
0.008152187802	1	0.1%
0.008181465091	1	0.1%

Value	Count	Frequency (%)
0.9987846948	1	0.1%
0.998757835	1	0.1%
0.9980449851	1	0.1%
0.9977300144	1	0.1%
0.9976799681	1	0.1%
0.9972289978	1	0.1%
0.9969548159	1	0.1%
0.9946209621	1	0.1%
0.9944001862	1	0.1%
0.993133906	1	0.1%

x_5
Real number (ℝ_≥0)

UNIQUE

Distinct	999
Distinct (%)	100.0%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%
Mean	0.5090419508

Minimum	0.005313863512
Maximum	0.9984778729
Zeros	0
Zeros (%)	0.0%
Negative	0
Negative (%)	0.0%
Memory size	7.9 KiB

Quantile statistics

Minimum	0.005313863512
5-th percentile	0.05816797046
Q1	0.2745586436
median	0.5092126022
Q3	0.7426676325
95-th percentile	0.9524894411
Maximum	0.9984778729
Range	0.9931640094
Interquartile range (IQR)	0.4681089889

Descriptive statistics

Standard deviation	0.2834070174
Coefficient of variation (CV)	0.5567458967
Kurtosis	-1.135675315
Mean	0.5090419508
Median Absolute Deviation (MAD)	0.2344735903
Skewness	-0.02436773506
Sum	508.5329089
Variance	0.0803195375
Monotonicity	Not monotonic

Histogram with fixed size bins (bins=50)

Value	Count	Frequency (%)
0.5452991338	1	0.1%
0.3778346784	1	0.1%
0.3470397049	1	0.1%
0.4784313082	1	0.1%
0.4911302582	1	0.1%
0.8999646928	1	0.1%
0.381773215	1	0.1%
0.3610848426	1	0.1%
0.4337008747	1	0.1%
0.5804645009	1	0.1%
Other values (989)	989	99.0%

Minimum 10 values
Maximum 10 values

Value	Count	Frequency (%)
0.005313863512	1	0.1%
0.005649447907	1	0.1%
0.006496301852	1	0.1%
0.006668706425	1	0.1%
0.006951165851	1	0.1%
0.008062367095	1	0.1%
0.008108347887	1	0.1%
0.008410795126	1	0.1%
0.01008875668	1	0.1%
0.0118789582	1	0.1%

Value	Count	Frequency (%)
0.9984778729	1	0.1%
0.9981989313	1	0.1%
0.9979029929	1	0.1%
0.9973382638	1	0.1%
0.9964702826	1	0.1%
0.9960905751	1	0.1%
0.9954120247	1	0.1%
0.9942700332	1	0.1%
0.9934374637	1	0.1%
0.9924381243	1	0.1%

x_6
Real number (ℝ_≥0)

UNIQUE

Distinct	999
Distinct (%)	100.0%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%
Mean	0.5135112564

Minimum	0.0005168188363
Maximum	0.9990590557
Zeros	0
Zeros (%)	0.0%
Negative	0
Negative (%)	0.0%
Memory size	7.9 KiB

Quantile statistics

Minimum	0.0005168188363
5-th percentile	0.04917674628
Q1	0.2554089812
median	0.5274046387
Q3	0.7671528421
95-th percentile	0.9518787304
Maximum	0.9990590557
Range	0.9985422369
Interquartile range (IQR)	0.5117438609

Descriptive statistics

Standard deviation	0.2912013869
Coefficient of variation (CV)	0.5670788775
Kurtosis	-1.213893633
Mean	0.5135112564
Median Absolute Deviation (MAD)	0.2526072282
Skewness	-0.08903805937
Sum	512.9977451
Variance	0.08479824772
Monotonicity	Not monotonic

Histogram with fixed size bins (bins=50)

Value	Count	Frequency (%)
0.5736922114	1	0.1%
0.8783951418	1	0.1%
0.2016186481	1	0.1%
0.7713869947	1	0.1%
0.8332007183	1	0.1%
0.1970110913	1	0.1%
0.8021574947	1	0.1%
0.2911874915	1	0.1%
0.7491579321	1	0.1%
0.01640720922	1	0.1%
Other values (989)	989	99.0%

Minimum 10 values
Maximum 10 values

Value	Count	Frequency (%)
0.0005168188363	1	0.1%
0.001039078226	1	0.1%
0.001380243804	1	0.1%
0.001882047392	1	0.1%
0.003867906053	1	0.1%
0.004578455817	1	0.1%
0.005849341163	1	0.1%
0.006231541978	1	0.1%
0.0063056543	1	0.1%
0.007164001232	1	0.1%

Value	Count	Frequency (%)
0.9990590557	1	0.1%
0.9976156505	1	0.1%
0.9906958311	1	0.1%
0.9894722968	1	0.1%
0.9892231291	1	0.1%
0.9880629254	1	0.1%
0.9862214772	1	0.1%
0.9850191984	1	0.1%
0.9847325415	1	0.1%
0.9839525858	1	0.1%

x_7
Real number (ℝ_≥0)

UNIQUE

Distinct	999
Distinct (%)	100.0%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%
Mean	0.4870195881

Minimum	0.0004930354189
Maximum	0.999179194
Zeros	0
Zeros (%)	0.0%
Negative	0
Negative (%)	0.0%
Memory size	7.9 KiB

Quantile statistics

Minimum	0.0004930354189
5-th percentile	0.03986519955
Q1	0.2376704538
median	0.4745734276
Q3	0.7390013927
95-th percentile	0.9330030491
Maximum	0.999179194
Range	0.9986861586
Interquartile range (IQR)	0.5013309389

Descriptive statistics

Standard deviation	0.28853689
Coefficient of variation (CV)	0.5924543839
Kurtosis	-1.200191796
Mean	0.4870195881
Median Absolute Deviation (MAD)	0.2510147719
Skewness	0.05128721269
Sum	486.5325685
Variance	0.08325353689
Monotonicity	Not monotonic

Histogram with fixed size bins (bins=50)

Value	Count	Frequency (%)
0.8174912403	1	0.1%
0.1080124115	1	0.1%
0.7565879712	1	0.1%
0.3668358619	1	0.1%
0.4622919941	1	0.1%
0.7757538015	1	0.1%
0.148654066	1	0.1%
0.2440461922	1	0.1%
0.8455381233	1	0.1%
0.3624680354	1	0.1%
Other values (989)	989	99.0%

Minimum 10 values
Maximum 10 values

Value	Count	Frequency (%)
0.0004930354189	1	0.1%
0.001437212573	1	0.1%
0.002168755047	1	0.1%
0.002275173785	1	0.1%
0.003662644187	1	0.1%
0.005178293446	1	0.1%
0.005194451893	1	0.1%
0.005492280936	1	0.1%
0.006293173414	1	0.1%
0.006784450961	1	0.1%

Value	Count	Frequency (%)
0.999179194	1	0.1%
0.9979108833	1	0.1%
0.9968904082	1	0.1%
0.9968666697	1	0.1%
0.9953517392	1	0.1%
0.9940810399	1	0.1%
0.9929643131	1	0.1%
0.9923984455	1	0.1%
0.9920675238	1	0.1%
0.9915668934	1	0.1%

x_8
Real number (ℝ_≥0)

UNIQUE

Distinct	999
Distinct (%)	100.0%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%
Mean	0.4989466279

Minimum	0.0004075991455
Maximum	0.9986462623
Zeros	0
Zeros (%)	0.0%
Negative	0
Negative (%)	0.0%
Memory size	7.9 KiB

Quantile statistics

Minimum	0.0004075991455
5-th percentile	0.04964895954
Q1	0.2560673617
median	0.5018658189
Q3	0.737044692
95-th percentile	0.9451366704
Maximum	0.9986462623
Range	0.9982386632
Interquartile range (IQR)	0.4809773304

Descriptive statistics

Standard deviation	0.2860873305
Coefficient of variation (CV)	0.5733826316
Kurtosis	-1.201680741
Mean	0.4989466279
Median Absolute Deviation (MAD)	0.2406459968
Skewness	0.008081751893
Sum	498.4476812
Variance	0.08184596069
Monotonicity	Not monotonic

Histogram with fixed size bins (bins=50)

Value	Count	Frequency (%)
0.2066362142	1	0.1%
0.7583385438	1	0.1%
0.648588809	1	0.1%
0.5561428298	1	0.1%
0.4431086702	1	0.1%
0.1864639539	1	0.1%
0.1072031679	1	0.1%
0.573830107	1	0.1%
0.04493582644	1	0.1%
0.00692198961	1	0.1%
Other values (989)	989	99.0%

Minimum 10 values
Maximum 10 values

Value	Count	Frequency (%)
0.0004075991455	1	0.1%
0.004566833377	1	0.1%
0.004819793627	1	0.1%
0.0050164524	1	0.1%
0.005249097012	1	0.1%
0.00692198961	1	0.1%
0.007173677906	1	0.1%
0.007298450917	1	0.1%
0.007329605985	1	0.1%
0.01025546179	1	0.1%

Value	Count	Frequency (%)
0.9986462623	1	0.1%
0.9984462825	1	0.1%
0.9977870975	1	0.1%
0.9974061728	1	0.1%
0.9963019455	1	0.1%
0.9943333585	1	0.1%
0.9937087398	1	0.1%
0.9926573029	1	0.1%
0.9912576943	1	0.1%
0.9905247034	1	0.1%

x_9
Real number (ℝ_≥0)

UNIQUE

Distinct	999
Distinct (%)	100.0%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%
Mean	0.5051851284

Minimum	0.007883363403
Maximum	0.9988844888
Zeros	0
Zeros (%)	0.0%
Negative	0
Negative (%)	0.0%
Memory size	7.9 KiB

Quantile statistics

Minimum	0.007883363403
5-th percentile	0.06057471244
Q1	0.2621554557
median	0.518658031
Q3	0.7482194676
95-th percentile	0.9436818145
Maximum	0.9988844888
Range	0.9910011254
Interquartile range (IQR)	0.4860640119

Descriptive statistics

Standard deviation	0.2829511131
Coefficient of variation (CV)	0.5600939086
Kurtosis	-1.189992985
Mean	0.5051851284
Median Absolute Deviation (MAD)	0.2438255055
Skewness	-0.06801291502
Sum	504.6799433
Variance	0.08006133242
Monotonicity	Not monotonic

Histogram with fixed size bins (bins=50)

Value	Count	Frequency (%)
0.880111227	1	0.1%
0.6169729538	1	0.1%
0.5661150699	1	0.1%
0.4599516839	1	0.1%
0.6952949637	1	0.1%
0.2891517628	1	0.1%
0.7279610124	1	0.1%
0.7863590354	1	0.1%
0.5998983954	1	0.1%
0.7551719896	1	0.1%
Other values (989)	989	99.0%

Minimum 10 values
Maximum 10 values

Value	Count	Frequency (%)
0.007883363403	1	0.1%
0.008486375213	1	0.1%
0.009443647461	1	0.1%
0.009553446202	1	0.1%
0.01177267847	1	0.1%
0.01202521822	1	0.1%
0.0128528662	1	0.1%
0.0132224604	1	0.1%
0.0176626991	1	0.1%
0.01825000369	1	0.1%

Value	Count	Frequency (%)
0.9988844888	1	0.1%
0.9973649841	1	0.1%
0.9971172756	1	0.1%
0.9952033276	1	0.1%
0.9942655736	1	0.1%
0.9907478828	1	0.1%
0.9876458235	1	0.1%
0.9868889449	1	0.1%
0.9857083405	1	0.1%
0.985235238	1	0.1%

x_10
Real number (ℝ_≥0)

UNIQUE

Distinct	999
Distinct (%)	100.0%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%
Mean	0.4991376114

Minimum	0.0001695572864
Maximum	0.9988191046
Zeros	0
Zeros (%)	0.0%
Negative	0
Negative (%)	0.0%
Memory size	7.9 KiB

Quantile statistics

Minimum	0.0001695572864
5-th percentile	0.05317098475
Q1	0.2495816054
median	0.5095781707
Q3	0.7423927027
95-th percentile	0.9408351386
Maximum	0.9988191046
Range	0.9986495473
Interquartile range (IQR)	0.4928110973

Descriptive statistics

Standard deviation	0.2842145647
Coefficient of variation (CV)	0.569411237
Kurtosis	-1.188904605
Mean	0.4991376114
Median Absolute Deviation (MAD)	0.2444973388
Skewness	0.003290464751
Sum	498.6384738
Variance	0.0807779188
Monotonicity	Not monotonic

Histogram with fixed size bins (bins=50)

Value	Count	Frequency (%)
0.5741874252	1	0.1%
0.9956662694	1	0.1%
0.8913815403	1	0.1%
0.4170673508	1	0.1%
0.3367005582	1	0.1%
0.6271239389	1	0.1%
0.3854100495	1	0.1%
0.04323681863	1	0.1%
0.7560317288	1	0.1%
0.6867291159	1	0.1%
Other values (989)	989	99.0%

Minimum 10 values
Maximum 10 values

Value	Count	Frequency (%)
0.0001695572864	1	0.1%
0.002183816861	1	0.1%
0.003050532658	1	0.1%
0.003460424254	1	0.1%
0.005036565475	1	0.1%
0.005054519046	1	0.1%
0.007321292767	1	0.1%
0.00751092867	1	0.1%
0.0148827557	1	0.1%
0.01524862647	1	0.1%

Value	Count	Frequency (%)
0.9988191046	1	0.1%
0.9983596164	1	0.1%
0.9979315691	1	0.1%
0.9960331533	1	0.1%
0.9957104295	1	0.1%
0.9956662694	1	0.1%
0.9951544625	1	0.1%
0.9945271015	1	0.1%
0.9909165264	1	0.1%
0.9906876506	1	0.1%

y
Real number (ℝ_≥0)

HIGH CORRELATION
HIGH CORRELATION
HIGH CORRELATION

Distinct	27
Distinct (%)	2.7%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%
Mean	15.01401401

Minimum	3
Maximum	29
Zeros	0
Zeros (%)	0.0%
Negative	0
Negative (%)	0.0%
Memory size	7.9 KiB

Quantile statistics

Minimum	3
5-th percentile	7
Q1	12
median	15
Q3	18
95-th percentile	23
Maximum	29
Range	26
Interquartile range (IQR)	6

Descriptive statistics

Standard deviation	4.773612737
Coefficient of variation (CV)	0.3179438045
Kurtosis	-0.3636394757
Mean	15.01401401
Median Absolute Deviation (MAD)	3
Skewness	-0.006369707158
Sum	14999
Variance	22.78737856
Monotonicity	Not monotonic

Histogram with fixed size bins (bins=27)

Value	Count	Frequency (%)
16	89	8.9%
14	88	8.8%
17	84	8.4%
15	70	7.0%
18	70	7.0%
13	65	6.5%
12	62	6.2%
19	55	5.5%
11	53	5.3%
9	53	5.3%
Other values (17)	310	31.0%

Minimum 10 values
Maximum 10 values

Value	Count	Frequency (%)
3	3	0.3%
4	6	0.6%
5	14	1.4%
6	16	1.6%
7	19	1.9%
8	34	3.4%
9	53	5.3%
10	41	4.1%
11	53	5.3%
12	62	6.2%

Value	Count	Frequency (%)
29	1	0.1%
28	1	0.1%
27	3	0.3%
26	5	0.5%
25	13	1.3%
24	19	1.9%
23	12	1.2%
22	34	3.4%
21	44	4.4%
20	45	4.5%

Spearman's ρ

The Spearman's rank correlation coefficient (ρ) is a measure of monotonic correlation between two variables, and is therefore better in catching nonlinear monotonic correlations than Pearson's r. It's value lies between -1 and +1, -1 indicating total negative monotonic correlation, 0 indicating no monotonic correlation and 1 indicating total positive monotonic correlation.

To calculate ρ for two variables X and Y, one divides the covariance of the rank variables of X and Y by the product of their standard deviations.

Pearson's r

The Pearson's correlation coefficient (r) is a measure of linear correlation between two variables. It's value lies between -1 and +1, -1 indicating total negative linear correlation, 0 indicating no linear correlation and 1 indicating total positive linear correlation. Furthermore, r is invariant under separate changes in location and scale of the two variables, implying that for a linear function the angle to the x-axis does not affect r.

To calculate r for two variables X and Y, one divides the covariance of X and Y by the product of their standard deviations.

Kendall's τ

Similarly to Spearman's rank correlation coefficient, the Kendall rank correlation coefficient (τ) measures ordinal association between two variables. It's value lies between -1 and +1, -1 indicating total negative correlation, 0 indicating no correlation and 1 indicating total positive correlation.

To calculate τ for two variables X and Y, one determines the number of concordant and discordant pairs of observations. τ is given by the number of concordant pairs minus the discordant pairs divided by the total number of pairs.

Phik (φk)

Phik (φk) is a new and practical correlation coefficient that works consistently between categorical, ordinal and interval variables, captures non-linear dependency and reverts to the Pearson correlation coefficient in case of a bivariate normal input distribution. There is extensive documentation available here.

Count
Matrix

A simple visualization of nullity by column.

Nullity matrix is a data-dense display which lets you quickly visually pick out patterns in data completion.

First rows

	x_1	x_2	x_3	x_4	x_5	x_6	x_7	x_8	x_9	x_10	y
0	0.968379	0.716820	0.678846	0.510049	0.545299	0.573692	0.817491	0.206636	0.880111	0.574187	17
1	0.468263	0.405603	0.320325	0.468084	0.100995	0.974407	0.300062	0.608356	0.050082	0.762011	12
2	0.776820	0.103740	0.373748	0.797782	0.906810	0.599069	0.626680	0.924705	0.632768	0.512663	16
3	0.407886	0.415357	0.101543	0.935160	0.444124	0.193607	0.656837	0.599929	0.868582	0.405406	20
4	0.538797	0.088621	0.886119	0.781848	0.401623	0.207652	0.946310	0.769453	0.827292	0.937183	15
5	0.206888	0.948597	0.558884	0.871703	0.465946	0.276475	0.989965	0.704521	0.274629	0.632537	17
6	0.187104	0.958926	0.333785	0.553103	0.321272	0.093246	0.992068	0.683878	0.826543	0.339985	14
7	0.779970	0.733282	0.640320	0.988489	0.503198	0.283350	0.412005	0.655302	0.025155	0.120866	23
8	0.193944	0.810933	0.444994	0.330572	0.518216	0.845187	0.525841	0.713356	0.666183	0.856873	11
9	0.434231	0.771914	0.465847	0.371157	0.895335	0.619349	0.597694	0.793747	0.610631	0.363718	17

Last rows

	x_1	x_2	x_3	x_4	x_5	x_6	x_7	x_8	x_9	x_10	y
989	0.675230	0.104578	0.089280	0.913877	0.212572	0.789406	0.715345	0.250423	0.778238	0.392814	16
990	0.466981	0.725928	0.925422	0.283279	0.543374	0.298245	0.012202	0.956630	0.751306	0.801752	18
991	0.716254	0.671017	0.047022	0.884141	0.046927	0.683850	0.964038	0.037830	0.835210	0.150489	24
992	0.130515	0.534216	0.123069	0.625352	0.145912	0.855714	0.491531	0.805196	0.690737	0.317576	12
993	0.589512	0.294239	0.854585	0.223456	0.067046	0.128168	0.861934	0.293647	0.702813	0.670513	11
994	0.162843	0.435990	0.149917	0.665505	0.914584	0.630336	0.384881	0.407224	0.328757	0.994527	16
995	0.907179	0.737143	0.830932	0.799533	0.214602	0.800022	0.504500	0.494688	0.462960	0.276626	20
996	0.505830	0.163747	0.146821	0.667286	0.573377	0.585563	0.934153	0.312294	0.854859	0.607592	15
997	0.296363	0.720200	0.434514	0.755218	0.613471	0.940339	0.329413	0.763345	0.018250	0.474626	17
998	0.181283	0.966139	0.502668	0.985803	0.285397	0.963976	0.283293	0.879572	0.139573	0.523076	17

Overview

Variables

Interactions

Correlations

Spearman's ρ

Pearson's r

Kendall's τ

Phik (φk)

Missing values

Sample

First rows

Last rows